Sunday, December 25, 2016

Farewell~

December 23rd was my last day of teaching 6th grade math! I have resigned from the DOE as of last month. I love all of my students and wish each and every last one of them the best in their educational careers, and with whomever their next math teacher will be. As I mentioned last post, and also evidenced by the insane amount of students who bum-rushed me (this includes 7th graders) on the last day, I've made a humongous impact on their learning as well as their lives. When the bell rang, over 30+ students came out of nowhere and were in my room yelling and shouting, each for a hug. I gave every last one of them a hug.

When I saw students literally cry and hug me, it made me realize just how much of an important part I was in their daily life. An entire year can pass, and they will never forget the experiences they shared with you! As a teacher, you realize that some students do not have any element of consistency in their life other than you. Just one moment with them can change their entire future, and it's almost like students need someone they can believe in. Perhaps they are level 1's, or level 2's, or 3's or 4's. But, a love for respecting oneself and each other, an inspiration to succeed in school, and a newfound love and appreciation for math...What number does that equate to? How can you quantify that? And I love each and every one of them.

I will continue to update this blog with math topics and any other videos/explanations that we covered in class before the year. Below are some of the well-wishes and farewells my students gave me along with some hilarious videos of my students trolling me!













Tuesday, December 20, 2016

The Impact of a Teacher


Readers! I can't get rid of them! And that's fine. Clearly they don't plan on getting rid of me anytime soon and it looks like we've found a place in each other's hearts. That lasts forever. It's amazing to see the impact I made on this cohort whom never stop short of entering my room (it's like a party!) to chat and kick it!


Tuesday, December 6, 2016

GCF Word Problems

It has been such a while since I've made a post! My nephews were victims of a major car accident days ago and are currently recovering.  I am also sick with the flu and wasn't able to teach yesterday.

We've been going over GCF word problems in class! Today I had students look at the following task from Illustrative Mathematics: Bake Sale Task


The idea is for students to gain the understanding that the cookies can be arranged into different numbers of bags based on the factors of the total number of cookies. Example:

48 Chocolate Chip Cookies can be arranged in the following ways:



Later students develop an understanding that if they are to arrange the vanilla wafers and the chocolate chip cookies into bags with the same amount of cookies in each bag and none left over, that the only way to do so would be by using common factors of 48 and 64.

Tuesday, November 1, 2016

Influencing a Generation

Every year kids who love you will return to see how you are doing. My former students always return each year and make a comment (or a complaint) about something new!

2014: Tokens
2015: Jumbo Tokens
2016: Rug Area, scent, laminated posters/word wall

It feels good to hear "I miss you" and "can you be my 7th grade math teacher?" It makes me happy that I was a pillar of support and love for these kids. Some of them may have no role models and no support outside of school, but they have a home in my classroom.

I may have been strict, but I held them to fair and high expectations to play their part in the creation of a productive classroom. They passed by my room today during my prep time and pretended to be in 6th grade again! With no hesitation I snapped a picture of last years cohort:



Next post will be about the latest topics we've covered in math class.

Wednesday, October 5, 2016

Homework - Tape Diagrams and Equivalent Ratios - 10/5/2016

We've been using tape diagrams to visualize equivalent ratios. The homework for October 5th has us demonstrate how we can use tape diagrams to show that two ratios are equivalent as well as solve ratio word problems.

The video below should help with the problem set for tonight's homework. As usual, if you have any questions leave a comment and I will get back to you as soon as possible!


Tuesday, October 4, 2016

Homework/Classwork - Equivalent Ratios and Tape Diagrams

Last week we used tape diagrams to learn about equivalent ratios and solve word problems. Tape diagrams are a great way to visualize ratio relationships. Last week's classwork is an example of how we can use a tape diagram to represent and solve a problem.

The videos below should help with what we've been covering in class recently!  If you have any questions please feel free to leave a comment and I'll get back as soon as possible!






Classwork - Tape Diagrams and Equivalent Ratios

Last week we used tape diagrams to learn about equivalent ratios and solve word problems. Tape diagrams are a great way to visualize ratio relationships. Below is an example of how we can use a tape diagram to represent and solve a problem.

Example: The ratio of the number of shoes Mr. E has to the number of sneakers Mr. E has is 5:2

If Mr. E has 25 shoes, how many sneakers does he have?


The five tapes represent the number of shoes Mr. E has. If we divide (25 ÷ 5)  then we know that each tape represents 5 shoes.

Now we can find out the number of sneakers Mr. E has, which is 10. Mr. E has 10 sneakers.

Monday, September 26, 2016

Homework - September 26th - Ratios

Today we learned about ratios in class. Ratios are a comparison between two (or more) quantities. For example, if I wanted to write the ratio of the number of shoes I have to the number of sneakers I have, I would write the ratio 5:2, because I own 5 pairs of shoes and 2 pairs of sneakers. There are two other ways we can represent ratios. We  can also write ratios as a fraction (5/2), or we can just write it out (5 to 2).

We can also represent ratios using a drawing. We call this a Tape Diagram.


The video below will help you with tonight's homework (9/26/2016). If you have any questions please feel free to leave a comment and I'll get back as soon as possible!



Wednesday, September 21, 2016

Homework - SOLVE - September 21st (Step V/E)

Today we spent some more time with step V and E of solve. Remember that SOLVE is a set of problem solving steps that make it easier for us to solve challenging word problems. If you need to review the first two steps (S and O), click here.

Today we went over Steps V and E in class:

Step V (Verify your plan with action) -
Estimate your answer.
Carry out your plan.



We want to estimate what the answer might be so when we finally solve the problem, our answer should be reasonable (that is, it should be close to the estimate)

Step E (Examine your results) -
Compare your answer to the question
Compare your answer to the estimate
Is your answer accurate? 
Write your answer in a complete sentence

In step E of solve we compare our answer to the estimate to see if our answer is reasonable, and we also check our work (we can use the opposite or inverse operations) to see if our answer is accurate. Lastly, we answer the question in a full complete sentence.

The following videos should help with the homework for September 21st. If you have any questions, please leave a comment and I will reply as soon as possible!





Sunday, September 18, 2016

Homework - SOLVE - September 16th

Today we spent a little more time covering the third step of the S.O.L.V.E. method, Step L. Remember that SOLVE is a set of problem solving steps that make it easier for us to solve challenging word problems. If you need to review the first two steps (S and O), click here.

Today we went over Step L in class:

Step L (Line up a Plan) -
Writing a plan in words with no numbers.
Choose an operation or operations.

The reason why we write a plan in words with no numbers is because doing this helps us focus on what the numbers in a word problem represent. In other words, when writing a plan, instead of using numbers, we use what the numbers stand for. 

The following videos should help with the homework for September 16th. If you have any questions, please leave a comment and I will reply as soon as possible!





Wednesday, September 14, 2016

Homework - Solve Step L

Today we went over the third step of the S.O.L.V.E. Method in class, Step L. Remember that SOLVE is a set of problem solving steps that make it easier for us to solve challenging word problems. If you need to review the first two steps (S and O), click here.

Today we went over Step L in class:

Step L (Line up a Plan) -
Writing a plan in words with no numbers.
Choose an operation or operations.

The reason why we write a plan in words with no numbers is because doing this helps us focus on what the numbers in a word problem represent. In other words, when writing a plan, instead of using numbers, we use what the numbers stand for. 

The following videos should help with the homework for 9/14 ~ 9/15. If you have any questions, please leave a comment and I will reply as soon as possible!





Tuesday, September 13, 2016

Homework - Solve Step S and Step O

We have been going over the first two steps of the S.O.L.V.E. Method in class. SOLVE is a set of problem solving steps that make it easier for us to solve challenging word problems. We have gone over the following two steps in class:

Step S (Study the Problem) -
- Underlining the question
- Restate what the problem is asking you to find (Do NOT re-write the question, but restate the question in your own words)
              
Step O (Organize the Facts) -
- Identifying the facts (placing a marker after each fact)
- Eliminating the unimportant facts (crossing out facts that do not help us solve the question)
- Listing the important facts (listing facts that are important to solving the question)


The following video should help with the homework for 9/13 ~ 9/14. If you have any questions, please leave a comment and I will reply as soon as possible!





Saturday, September 10, 2016

This Year's Classroom



I found many mathematically-themed quotes online and I found the "How to learn math" poster from pinterest and used colored cardstock to create my own on the bulletin in the back of my classroom. Plenty of cool ideas. Bought a laminator and 3mil pouch paper and used recollections colored 65lb cardstock to decorate. The borders were from dkclassroom outlet and the background of each bulletin is fabric. I got the large letter blocks from Michaels and used magnetic tape to place them onto my whiteboard. I use a bath and body works fragrance plugin/throw to give the room a fresh scent.

Accountable Talk Cards

This year I am thinking about adding accountable talk cards to my reward system. I am giving students these cards to use at any time during the lesson.. The cards can be differentiated depending on what groups you want to use specific cards. I am going to increase their chances of receiving a gold token the more they use their cards. 

The idea is to increase engagement and have the students reach a point where they are actively using the language all the time. The two cards I will use are "I notice you..." in order to positively reinforce particular things (i.e. students using math terms/vocabulary like "numerator" or "denominator", or to point out a particular detail in the way in which they solved a problem), and "can you tell me why you think that?" in order to get them to explain. 

I have never taught with this sort of structure in place so I am excited to see how it turns out! I am sure the kids will be excited to use them as the power to learn and grow in math is now in their hands. Time to update that powerpoint.....








Monday, July 25, 2016

Summer School 2016!

Summer school 2016 is here! The students have been learning things they didn't really get throughout the school year, or brushing up on their knowledge of rates. In this video the kids are just taking turns quizzing each other using a book from Pearson on Ratios & Rates.

Tuesday, July 12, 2016

Summer Summer Summertime!

Wow, I haven't updated since March! The school year ended on a positive note and it seems like the entire year was a blur. My hypothesis is that the more experienced you become, the more you know what to expect, the easier things are to manage, and the faster the years go by.

This summer we've been using ratios and rates from Pearson for the first domain. I will probably pull resources from IXL or A-Net and even the 2016 released questions to count towards the student portfolios. This summer session is comprised of two groups of students. Some of whom I'm assuming did not do so well on the test, and the others whom just did not produce any work all year. Nevertheless, the days have been going fast (we're on day 3) and pretty soon it will be time for another vacation.

This summer my plan is to come up with a group-management system. I feel that when I group students, they fall into three categories:

A) Students that do all of their work all of the time and actually discuss the work and attempt to complete the problems (what I want to focus on this year and what I want my new system to address)

B) A group where one or two students produce work but they mostly work individually, and the third student does not produce anything or attempts to just copy from their group members


C) Students that do not produce any sort of answer or work, are heavily off task, and do not attempt to discuss the problem

The biggest part of the problem obviously stems from the fact that a large portion of students are far behind where they are supposed to be and simply do not understand the work or problem. And so, they shut down, tune out, or act out. However, I would be content if the kids made serious attempts to work together to try to at least discuss the problems and attempt to come up with a solution. I have been thinking about using the wheel as a template. Going to spend some time this month thinking about it. Stay tuned! P.S. - Kudos to you if you know what song the title of this post refers to!


Sunday, March 20, 2016

The Pi!



So late but sooooo worth it! These apple pies came out great and I used graham cracker pie crust. Now I should get the students to use the recipe to find out how much of each ingredient we'd need to make apple pies for 2 classes....

Monday, March 14, 2016

Happy Pi Day!

How could I not make a post for National Pi Day!? Today is 3/14/16!

Channeling my inner nerd, Pi is the ratio of the circumference of a circle to its diameter (which tends to be a little over 3 times as much or 3.14  to be exact).

All of the math experts have even come out of the woodworks to win free pizza from pizza hut for 3.14 years! http://blog.pizzahut.com/flavor-news/national-pi-day-math-contest-problems-are-here-2/

What am I doing? I promised the kids that I would make a pie and bring it in on Friday (I know, I'm going to be so late), but I suppose it's the thought that counts. The pie in question......Apple? Peanut butter? Strawberry? I am terrible at baking but I'll be sure to post a picture of it.

Wednesday, March 9, 2016

Update

Sorry it's been a little over a month! The mid winter-recess break was in mid-February and I was away in San Francisco unable to post. Shortly after, I was in a complicated situation and ended up losing someone that I loved. The kids have been questioning why I look so sad lately, but I have to be strong as their teacher, for them and for me. I apologize for the lack of posts!

We have been learning about how to solve a one-step equation. I have not done a great job breaking this down for the kids in my past years of teaching, but this time I made it easier to understand by using NLVM's virtual algebra balance scale. It can be found here: http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html?open=instructions

And it looks like the following:



Once kids understand the two goals/concepts of isolating the variable and balancing the equation, they can move onto abstractly solving one-step equations where the answer is not so obvious
(i.e. E + 350 = 592 or 5n = 625). So far they have done a good job, especially understanding key terms such as "isolate" and "inverse"

Wednesday, February 3, 2016

Order of Operations Footloose


The students have needed a lot of practice with the order of operations recently so I've had them move around > get an expression > evaluate an expression > return expression > repeat. Above is a video of a group evaluating an expression together.

Thursday, January 21, 2016

Division of Fractions by Fractions


Howdy! The kids have been working on dividing fractions by fractions, as well as word problems! 

Before working on word problems, they created fraction kits using fractions strips for:
1 whole, 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1/10, and 1/12. 

The video above is a student attempting to model the solution to one of these problems.


Tuesday, January 12, 2016

Math Opinions

I decided to have a few students (like G and K from last year) share their opinion on what math is like for them this year and their attitude towards learning. A few more are coming! Stay tuned!